# Dice Throwing

Very easy

Execution time limit is 1 second

Runtime memory usage limit is 64 megabytes

n common cubic dice are thrown. What is the probability that the sum of all thrown dice is at least x?

## Input

The input file contains several test cases. Each test case consists two integers n (1 ≤ n ≤ 24) and x (0 ≤ x < 150). The meanings of n and x are given in the problem statement. Input is terminated by a case where n=0 and x=0. This case should not be processed.

## Output

For each line of input produce one line of output giving the requested probability as a proper fraction in lowest terms in the format shown in the sample output. All numbers appearing in output are representable in unsigned 64-bit integers.

## Examples

Input #1

Answer #1

Submissions 223

Acceptance rate 60%